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Finding the Fourth Proportional to 98,906.56, 136,491.09 and 53,584.86

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Solution

The fourth proportional to 98,906.56, 136,491.09 and 53,584.86 is: 73,947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,906.56 : 136,491.09 = 53,584.86 : x
  2. Step 2: Convert to fraction form
    98,906.56/136,491.09 = 53,584.86/x
  3. Step 3: Cross multiply
    98,906.56x = 136,491.09 × 53,584.86
  4. Step 4: Simplify right side
    98,906.56x = 7,313,855,236.11
  5. Step 5: Solve for x
    x = 7,313,855,236.11/98,906.56
  6. Step 6: Final answer
    x = 73,947.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.